Aspects of Kink-Like Structures in 2D Dilaton Gravity

Abstract

The topological structures that arise from two-dimensional (2D) models are relevant physically and the first step toward understanding more complex systems. In this work, one studies the kink-like solutions of the matter field that emerge in a 2D dilaton gravity scenario. Considering this scenario, the linear stability of the matter field and the translational mode is examined. Due to the specific profile of the solutions found, a differential configurational complexity (DCC) analysis of the system is necessary to confirm the nature of the structures. Furthermore, the interforce and scattering process is studied, considering a pair of kink-antikink-like solutions in a fixed time ($t=0$).